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Finding the Fourth Proportional to 2,814.39, 4,221.57 and 762.39

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Solution

The fourth proportional to 2,814.39, 4,221.57 and 762.39 is: 1,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.39 : 4,221.57 = 762.39 : x
  2. Step 2: Convert to fraction form
    2,814.39/4,221.57 = 762.39/x
  3. Step 3: Cross multiply
    2,814.39x = 4,221.57 × 762.39
  4. Step 4: Simplify right side
    2,814.39x = 3,218,482.75
  5. Step 5: Solve for x
    x = 3,218,482.75/2,814.39
  6. Step 6: Final answer
    x = 1,143.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.